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Finding the Fourth Proportional to 1,350.36, 1,863.74 and 1,288.80

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Solution

The fourth proportional to 1,350.36, 1,863.74 and 1,288.80 is: 1,778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.36 : 1,863.74 = 1,288.80 : x
  2. Step 2: Convert to fraction form
    1,350.36/1,863.74 = 1,288.80/x
  3. Step 3: Cross multiply
    1,350.36x = 1,863.74 × 1,288.80
  4. Step 4: Simplify right side
    1,350.36x = 2,401,988.11
  5. Step 5: Solve for x
    x = 2,401,988.11/1,350.36
  6. Step 6: Final answer
    x = 1,778.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.